Cartesian coordinate system

E39344

coordinate system mathematical concept

The Cartesian coordinate system is a mathematical framework that uses perpendicular axes to represent points in a plane or space with ordered numerical coordinates.

Aliases (3)

Statements (50)

Predicate	Object
instanceOf	coordinate system → mathematical concept →
alsoKnownAs	Cartesian coordinates → rectangular coordinate system →
axisIntersection	axes intersect at the origin →
axisOrientation	axes are mutually perpendicular →
belongsToField	Euclidean geometry → analytic geometry → mathematics →
coordinateDomain	real numbers →
coordinateSignConvention	positive x to the right → positive y upward → positive z out of the plane or toward observer →
coordinateType	n-tuple → ordered pair → ordered triple →
enables	algebraic representation of geometric figures → distance calculation using Euclidean metric → graphing of functions → vector representation →
geometryType	Euclidean space →
hasDimension	n-dimensional → three-dimensional → two-dimensional →
hasOrigin	point where all coordinates are zero →
hasQuadrants	four quadrants in 2D →
historicalContributor	Pierre de Fermat → René Descartes →
namedAfter	René Descartes →
originCoordinates	(0, 0) → (0, 0, 0) →
planeName	xy-plane → xz-plane → yz-plane →
quadrantNumbering	counterclockwise from positive x-axis →
representsPointAs	(x, y) → (x, y, z) →
underlies	Cartesian product interpretation of coordinates → standard graphing in school mathematics →
usedIn	calculus → computer graphics → engineering → geography → linear algebra → navigation → physics → robotics →
usesAxis	x-axis → y-axis → z-axis →

Referenced by (5)

Subject (surface form when different)	Predicate
Cartesian coordinate system ("rectangular coordinate system") → Cartesian coordinate system ("Cartesian coordinates") →	alsoKnownAs
Geometry (Descartes) →	introducedConcept
René Descartes →	knownFor
Geometry (Descartes) ("Cartesian plane") →	relatedConcept